2001/06/14 by D. F. Martinez, L. E. Reichl · 1 citation
Biochemistry, Genetics and Molecular Biology · Physics and Astronomy · #Force Microscopy Techniques and Applications #Lipid Membrane Structure and Behavior #Mechanical and Optical Resonators #cond-mat.mes-hall
paper · pdf · doi:10.1103/physrevb.64.245315
21 pages, 12 figures, 1 table
arxiv created 2001/06/14 · openalex publication_date 2001/12/04 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
We derive an exact expression for the transmission amplitude of a particle moving through a harmonically driven \ensuremathδ-function potential by using the method of continued fractions within the framework of Floquet theory. We prove that the transmission through this potential as a function of the incident energy presents at most two real zeros, that its poles occur at energies n\ensuremath\Elzxh\ensuremathω+\ensuremathε* [0<Re(\ensuremathε*)<\ensuremath\Elzxh\ensuremathω], and that the poles and zeros in the transmission amplitude come in pairs with the distance between the zeros and the poles (and their residue) decreasing with increasing energy of the incident particle. We also show the existence of nonresonant ``bands'' in the transmission amplitude as a function of the strength of the potential and the driving frequency.